Mathematical Institute of the Serbian Academy of Sciences and Arts

Refinements of q-Berezin radius inequalities

We present refinements of q-Berezin radius inequalities for bounded linear operators on reproducing kernel Hilbert spaces. Using the Berezin number, the Berezin–Crawford number, the Berezin norm, and the quantity $$\widetilde{m}(P),$$ we derive upper bounds whose coefficient func...

Orthogonality related to Steiner and Pappus chains

The focus of this paper is on the study of specific circle formations known as orthogonal Pappus chains and the related incidence results that involve points of tangency between the circles in the construction. Using circle inversion as a key tool, it is shown that these chains g...